Answer:
40,900 40,800 40,700 40,600 40,500
Step-by-step explanation:
The 4 will stay the same, it doesn't need to change because you are focusing on the number after it which is 1. a number has to be over 5 to round up the number. If we are trying to make a 1 , the previous number must be either a 5, a 6, a 7, an 8, or a 9
Check if the equation is exact, which happens for ODEs of the form
if 
.
We have
so the ODE is not quite exact, but we can find an integrating factor 
so that
<em>is</em> exact, which would require
Notice that
is independent of <em>x</em>, and dividing this by 
gives an expression independent of <em>y</em>. If we assume 
is a function of <em>x</em> alone, then 
, and the partial differential equation above gives
which is separable and we can solve for 
easily.
So, multiply the original ODE by <em>x</em> on both sides:
Now
so the modified ODE is exact.
Now we look for a solution of the form 
, with differential
The solution <em>F</em> satisfies
Integrating both sides of the first equation with respect to <em>x</em> gives
Differentiating both sides with respect to <em>y</em> gives
So the solution to the ODE is
Answer:
6.71
You use pythagoras so you do:
6² + 3² = 45
square root 45 =6.71
<h2><em>Okay so these are the answers from top to bottom.</em></h2><h2><em>x = 2 and y = x + 8 so 2 + 8 = 10.</em></h2><h2><em>x = 0 and y = x + 8 so 0 + 8 = 8.</em></h2><h2><em>x = 4 and y = x + 8 so 4 + 8 = 12.</em></h2><h2><em>10</em></h2><h2><em>8</em></h2><h2><em>12</em></h2><h2><em>Hope this helps and have a great day...!</em></h2>
Answer:
YAY!
Step-by-step explanation:
Happy Friday! :)!
Thanks so much for the free POINTS!
Ur the best!
